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P- and hp-finite element methods : theory and applications in solid and fluid mechanics
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ISBN: 0198503903 Year: 1998 Publisher: Oxford Clarendon

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Solids --- -Fluid dynamics --- -Finite element method --- Differential equations --- -519.6 --- 681.3 *G18 --- 681.3*G17 --- Equations, Differential --- Bessel functions --- Calculus --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Dynamics --- Fluid mechanics --- Solid state physics --- Transparent solids --- Mathematics --- Numerical solutions --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Finite element method. --- Fluid dynamics --- Numerical solutions. --- Mathematics. --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.91 Differential equations --- Finite element method --- 519.6 --- 517.91 --- Numerical solutions&delete&


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Arkadien : Seine Natur, seine Geschichte, seine Einwohner, seine Alterthümer
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Year: 1852 Publisher: Stuttgart Tübingen J. G. Cotta'scher Verlag

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Sämmtliche Werke
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Year: 1846 Publisher: Stuttgart und Tübingen : J. G. Gotta,

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Boundary Element Methods
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ISBN: 9783540680932 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg

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Boundary element methods
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ISBN: 9783540680932 Year: 2011 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg

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This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems  in IR3. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.


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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 : Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021
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ISBN: 3031204328 303120431X Year: 2023 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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The volume features high-quality papers based on the presentations at the ICOSAHOM 2020+1 on spectral and high order methods. The carefully reviewed articles cover state of the art topics in high order discretizations of partial differential equations. The volume presents a wide range of topics including the design and analysis of high order methods, the development of fast solvers on modern computer architecture, and the application of these methods in fluid and structural mechanics computations.


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Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs
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ISBN: 3031383834 3031383842 Year: 2023 Publisher: Springer

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Uncertainty Quantification in Computational Fluid Dynamics
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ISBN: 9783319008851 Year: 2013 Publisher: Cham Springer International Publishing

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Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.


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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 : Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021
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ISBN: 9783031204326 9783031204319 9783031204333 9783031204340 Year: 2023 Publisher: Cham Springer International Publishing

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The volume features high-quality papers based on the presentations at the ICOSAHOM 2020+1 on spectral and high order methods. The carefully reviewed articles cover state of the art topics in high order discretizations of partial differential equations. The volume presents a wide range of topics including the design and analysis of high order methods, the development of fast solvers on modern computer architecture, and the application of these methods in fluid and structural mechanics computations.


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Uncertainty quantification in computational fluid dynamics
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ISBN: 9783319008844 Year: 2013

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